Consider the following list of properties: Zero:  -1 with multiplicity 2 Zero: 0 with multiplicity 1 Zero:  1 with multiplicity 2 End Behavior:                 *See attached photo as well* a) Try to sketch a polynomial that satisfies the above properties. Is it possible? Why or why not? b) If it is not possible, change one thing in the above list to make it possible. Sketch a new polynomial using this change

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Consider the following list of properties:

  • Zero:  -1 with multiplicity 2
  • Zero: 0 with multiplicity 1
  • Zero:  1 with multiplicity 2
  • End Behavior:

                *See attached photo as well*

a) Try to sketch a polynomial that satisfies the above properties. Is it possible? Why or why not?

b) If it is not possible, change one thing in the above list to make it possible. Sketch a new polynomial using this change.

as x+ 0, f(x) → -c
as x+ - 0, f(x) → –
Transcribed Image Text:as x+ 0, f(x) → -c as x+ - 0, f(x) → –
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